What is the Greatest Common Factor of 2686 and 2700?

Greatest common factor (GCF) of 2686 and 2700 is 2.

GCF(2686,2700) = 2

We will now calculate the prime factors of 2686 and 2700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2686 and 2700.

How to find the GCF of 2686 and 2700?

We will first find the prime factorization of 2686 and 2700. After we will calculate the factors of 2686 and 2700 and find the biggest common factor number .

Step-1: Prime Factorization of 2686

Prime factors of 2686 are 2, 17, 79. Prime factorization of 2686 in exponential form is:

2686 = 2¹ × 17¹ × 79¹

Step-2: Prime Factorization of 2700

Prime factors of 2700 are 2, 3, 5. Prime factorization of 2700 in exponential form is:

2700 = 2² × 3³ × 5²

Step-3: Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1, 2, 17, 34, 79, 158, 1343

Step-4: Factors of 2700

List of positive integer factors of 2700 that divides 2686 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2686 and 2700. The biggest common factor number is the GCF number.
So the greatest common factor 2686 and 2700 is 2.

Also check out the Least Common Multiple of 2686 and 2700